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Mathematics

1 answer:

lyudmila [28]2 years ago

6 0

Answer:

90.Grams of sugar

Step-by-step explanation:

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Priya has a recipe for banana bread. She uses 7 ½ cups of flour to make 3 loaves of banana bread. Andre will follow the same rec

Mnenie [13.5K]

Answer:

Option B)

$b = \dfrac{2}{5}f$

Step-by-step explanation:

We are given the following in the question:

Priya uses $7\frac{1}{2}$ cups of flour to make 3 loaves of banana bread.

Thus, we can write the ration of bread to amount of flour used as:

$\text{Ratio} = \dfrac{3}{7\frac{1}{2}} = \dfrac{3}{\frac{15}{2}} = \dfrac{6}{15}$

Now, b loaves of banana bread using f cups of flour.

This measurement will follow the same ratio.

Thus, we can write:

$\dfrac{b}{f} = \dfrac{6}{15}\\\\b = \dfrac{2}{5}f$

Thus, the correct answer is

Option B)

$b = \dfrac{2}{5}f$

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2 years ago

Find the surface area of the part of the sphere x2+y2+z2=81 that lies above the cone z=x2+y2−−−−−−√

TiliK225 [7]

Parameterize the part of the sphere by

$\mathbf s(u,v)=(9\cos u\sin v,9\sin u\sin v,9\cos v)$

with $0\le u\le2\pi$ and $0\le v\le\dfrac\pi4$ . Then

$\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|=81\sin v\,\mathrm du\,\mathrm dv$

So the area of $S$ (the part of the sphere above the cone) is given by

$\displaystyle\iint_S\mathrm dS=81\int_{v=0}^{v=\pi/4}\int_{u=0}^{u=2\pi}\sin v\,\mathrm du\,\mathrm dv=81(2\pi)\left(1-\dfrac1{\sqrt2}\right)=(162-81\sqrt2)\pi$

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2 years ago

Find f(-5) if f(x) = |x+1|

lions [1.4K]

Answer:

Step-by-step explanation:

just put -5 to x

|-4|=4

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2 years ago

How would I solve for the area of this triangle? Please help

Lyrx [107]